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Finding the Fourth Proportional to 525.06, 724.57 and 289.01

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Solution

The fourth proportional to 525.06, 724.57 and 289.01 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 724.57 = 289.01 : x
  2. Step 2: Convert to fraction form
    525.06/724.57 = 289.01/x
  3. Step 3: Cross multiply
    525.06x = 724.57 × 289.01
  4. Step 4: Simplify right side
    525.06x = 209,407.98
  5. Step 5: Solve for x
    x = 209,407.98/525.06
  6. Step 6: Final answer
    x = 398.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.